Nonlinear analysis of thermal-mechanical coupling bending of FGP infinite length cylindrical panels based on PNS and NSGT

Abstract

Abstract The present paper investigates the nonlinear static bending behavior of long cylindrical panels made of functionally graded (FG) porous materials. The shell with long length resting on nonlinear elastic foundation under uniform temperature rise and transverse pressure loading is analysed. Thermomechanical properties of the shell with even distributed porosities are temperature-dependent and are graded along the thickness of the shell. The principle of virtual displacement and nonlocal strain gradient theory (NSGT) are employed to derive equilibrium equations of the shell. The concept of physical neutral surface (PNS) and higher-order shear deformation theory are also included into the formulation. Using the uncoupled thermoelasticity and Donnell kinematic assumptions three differential equations of the shell under thermomechanical loading are established. The nonlinear system of governing equations are solved for the case of shells which are clamped on both straight edges and free at other curved edges. The two-step perturbation technique and Galerkin procedure are employed to derive analytical solutions for the thermal, mechanical and thermomechanical responses of cylindrical panels. The important parameters governing the bending behavior of shallow cylindrical panels under thermal-mechanical coupling load are identified and discussed. Novel parametric studies are given to show the influences of nonlocal and length scale parameters, porosity coefficient, functionally graded patterns, geometrical parameters, foundation stiffness and temperature dependence.